Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10662/8903
Títulos: Essential g-ascent and g-descent of a closed linear relation in Hilbert spaces
Autores/as: Garbouj, Zied
Skhiri, Haïkel
Palabras clave: Range subspace;Closed linear relation;Spectrum;Ascent;Essential ascent;Descent;Essential descent;Semi-Fredholm relation;Rango de subespacio;Relación lineal cerrada;Espectro;Ascenso;Ascenso esencial;Descenso;Descenso esencial;Relación semi-Fredholm
Fecha de publicación: 2017
Editor/a: Universidad de Extremadura
Resumen: We define and discuss for a closed linear relation in a Hilbert space the notions of essential g-ascent (resp. g-descent) and g-ascent (resp. g-descent) spectrums. We improve in the Hilbert space case some results given by E. Chafai in a Banach space [Acta Mathematica Sinica, 34 B, 1212-1224, 2014] and several results related to the ascent (resp. essential ascent) spectrum for a bounded linear operator on a Banach space [Studia Math, 187, 59-73, 2008] are extended to closed linear relations on Hilbert spaces. We prove also a decomposition theorem for closed linear relations with finite essential g-ascent or g-descent.
URI: http://hdl.handle.net/10662/8903
Colección:Extracta Mathematicae Vol. 32, nº 2 (2017)

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